document.write( "Question 876452: An inventory of two types of floodlights showed a total of 60 lights valued at $2580. If Type A cost $40 each while Type B cost $50 each, how many Type B floodlights were in inventory? \n" ); document.write( "

Algebra.Com's Answer #528787 by mananth(16946) $\"\"$ $\"About$

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x= number of type A
\n" ); document.write( "y= number of type B
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 60 .............1
\n" ); document.write( "
\n" ); document.write( "40 x + 50 y = 2580 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -50
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-50 x -50 y = -3000
\n" ); document.write( "40 x + 50 y = 2580
\n" ); document.write( "Add the two equations
\n" ); document.write( "-10 x = -420
\n" ); document.write( "/ -10
\n" ); document.write( "x = 42
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 60
\n" ); document.write( "42 + y = 60
\n" ); document.write( " y = 60 -42
\n" ); document.write( " y = 18
\n" ); document.write( " y = 18
\n" ); document.write( "x= 42 number of type A
\n" ); document.write( "y= 18 number of type B
\n" ); document.write( "m.ananth@hotmail.ca
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